Psychology 202 - Test 2 Flashcards
hypothesis testing
a statistical method that uses sample data to evaluate a hypothesis about a population
hypothesis
the prediction about the relationship between two variables
critical value
set cut-off sample score
directional hypothesis
make a prediction regarding direction
i.e. increase…or decrease…
one-tail test
looking at one tail/extreme of the distribution
- 5% > 1.64
- 1% > 2.33
non-directional hypothesis
no prediction regarding direction
- just know there is a change, don’t know in/decrease
two-tail test
need to look/think about both extremes
- 5% > 1.96
- 1% > 2.57
distribution of means
set of sample means from a given population
rule #1
the mean of a distribution of means (μm) is the same as the mean of the population of individuals
rule #2a
The variance of the distribution of means is the variance of the population of individuals divided by the number of individuals in each sample
rule #2b
the standard deviation of the distribution of means is the square root of the variance of the distribution of means
rule #3
the shape of the distribution of means is approximately normal if at least one of the conditions is met
- sample size is 30 or more
- the distribution of the population of individual scores is normally distributed
Variance & SD formulas for Distribution of Means
variance –> δ²m = δ² / N
SD –> √δ²m = δ² / N or √δ²m
z-test
hypothesis testing procedure using the mean of the sample when the population variance is known
- comparing sample mean to distribution of means
z-test formula
Z = (M - μm) / δ²